This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A223574 #8 Jul 23 2025 04:14:48 %S A223574 729,531441,170772624,34343644896,5521860818496,817235401137408, %T A223574 120950839368336384,17900724226513784832,2649307185524040155136, %U A223574 392097463457557942960128,58030424591718575558098944 %N A223574 Number of nX6 0..2 arrays with antidiagonals unimodal. %C A223574 Column 6 of A223576 %H A223574 R. H. Hardin, <a href="/A223574/b223574.txt">Table of n, a(n) for n = 1..210</a> %F A223574 Let U(z) = (z^4+6*z^3+23*z^2+18*z+24)/24 %F A223574 a(n) = U(min(n,6))^(max(n,6)-min(n,6)+1) * product{ U(i)^2 , i=1..(min(n,6)-1) } %F A223574 a(n) = 148*a(n-1) for n>5 %e A223574 Some solutions for n=3 %e A223574 ..0..0..0..2..0..2....0..0..0..0..2..0....0..0..0..0..2..2....0..0..0..0..0..0 %e A223574 ..0..0..0..0..2..2....0..0..0..2..2..2....0..0..1..1..2..2....0..0..1..0..1..1 %e A223574 ..0..0..1..2..1..2....0..0..2..2..1..2....0..0..1..1..1..2....0..0..1..1..0..2 %K A223574 nonn %O A223574 1,1 %A A223574 _R. H. Hardin_ Mar 22 2013